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Finding the Fourth Proportional to 577,609.42, 797,097.43 and 319,481.74

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Solution

The fourth proportional to 577,609.42, 797,097.43 and 319,481.74 is: 440,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,609.42 : 797,097.43 = 319,481.74 : x
  2. Step 2: Convert to fraction form
    577,609.42/797,097.43 = 319,481.74/x
  3. Step 3: Cross multiply
    577,609.42x = 797,097.43 × 319,481.74
  4. Step 4: Simplify right side
    577,609.42x = 254,658,076,400.32
  5. Step 5: Solve for x
    x = 254,658,076,400.32/577,609.42
  6. Step 6: Final answer
    x = 440,882.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.